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Finding the Fourth Proportional to 283.06, 390.50 and 165.03

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Solution

The fourth proportional to 283.06, 390.50 and 165.03 is: 227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.06 : 390.50 = 165.03 : x
  2. Step 2: Convert to fraction form
    283.06/390.50 = 165.03/x
  3. Step 3: Cross multiply
    283.06x = 390.50 × 165.03
  4. Step 4: Simplify right side
    283.06x = 64,442.26
  5. Step 5: Solve for x
    x = 64,442.26/283.06
  6. Step 6: Final answer
    x = 227.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.